# Integrals Class 12 Maths

*Get answers to all NCERT exercise questions, examples, supplementary exercise questions and Sample Papers with expert created video lecture, pdf notes and assignments for Integrals Class 12 Maths. *

**Summary:**

*Integration is the inverse process of differentiation. In the differential calculus, we are given a function and we have to find the derivative or differential of this function, but in the integral calculus, we are to find a function whose differential is given. Thus, integration is a process which is the inverse of differentiation.*

*Let \frac{d}{dx}F(x) = f(x) . Then, we write \int{f(x) dx} = F(x) + C. These integrals **are called indefinite integrals or general integrals, C is called constant of integration. All these integrals differ by a constant.*

*From the geometric point of view, an indefinite integral is collection of family of curves, each of which is obtained by translating one of the curves parallel to itself upwards or downwards along the y-axis.*

## Lectures for Integrals Class 12 Maths

*Lecture 1 and 2 are based on NCERT Exercises 7.1, 7.2 and 7.3**These lectures also have questions from R. D. Sharma, NCERT Exemplar Problems, CBSE Question Bank (Support Material) and books from other states.*

## Lecture - 1

This Lecture is based on First Method * Direct Integration*. This lecture has

*with detailed explanation of concepts, derivations of all identities or formulas and explanation of*

**five parts***from various books of integrals class 12 maths.*

**sixty (60) practice questions**## Lecture - 2

This Lecture is based on Second Method * Substitution*. This lecture has

*with detailed explanation of concepts, derivations and*

**eight parts***from various textbooks. Although, this lecture is based on Substitution method but there are also some questions based on previous lecture of Direct Integration.*

**eighty three (83) practice questions**## NCERT Exercise 7.4

This section has complete explanation of concepts based on NCERT Exericse 7.4 with each and every NCERT solutions.

Go to Exercise 7.4